41328

41328 is a five-digit integer. It falls between the integers 41327 and 41329. In terms of its properties, 41328 is an even number, as it is divisible by 2. Its prime factorization is 2^3 * 5166. This means it is composed of the prime factors 2 and 5166. 5166 itself is not a prime number. Further factorization of 5166 reveals it to be 2 * 2583. Thus, the complete prime factorization of 41328 is 2 * 2 * 2 * 2583, or 2^3 * 2583. The number 2583 is divisible by 3, as the sum of its digits (2+5+8+3 = 18) is divisible by 3. Dividing 2583 by 3 yields 861. Therefore, the prime factorization of 41328 is 2^3 * 3 * 861. The number 861 is also divisible by 3 (8+6+1 = 15). Dividing 861 by 3 gives 287. So, the prime factorization of 41328 becomes 2^3 * 3^2 * 287. The number 287 is divisible by 7, yielding 41. Since 41 is a prime number, the complete prime factorization of 41328 is 2^3 * 3^2 * 7 * 41. In Roman numerals, 41328 would be represented as XLI CCCXXVIII.